You have constructed a 95% confidence interval to estimate the mean number of people downloading music files from the internet using a sample of 150 people.Which of the following statements are true?
I.A 95% Confidence interval will be wider than a 99% confidence interval.
II.Sampling a smaller number of people will increase the margin of error.
III.Changing the sample size will change the value of
.

Question

You have constructed a 95% confidence interval to estimate the mean number of people downloading music files from the internet using a sample of 150 people.Which of the following statements are true?
I.A 95% Confidence interval will be wider than a 99% confidence interval.
II.Sampling a smaller number of people will increase the margin of error.
III.Changing the sample size will change the value of 
.

Quizplus · Accepted Answer

I. A 95% confidence interval will be wider than a 99% confidence interval. This is true because a higher confidence level requires a larger margin of error, which in turn requires a wider interval.
II. Sampling a smaller number of people will increase the margin of error. This is true because a smaller sample size leads to a larger standard error, which increases the margin of error.
III. Changing the sample size will change the value of the margin of error. This is true because the margin of error is inversely proportional to the square root of the sample size, so increasing the sample size decreases the margin of error and vice versa.

You Have Constructed a 95% Confidence Interval to Estimate the Mean